Phase-coherent sensing of the center-of-mass motion of trapped-ion crystals

Published on Nov 9, 2020in Physical Review A3.14
· DOI :10.1103/PHYSREVA.102.052609
M. Affolter6
Estimated H-index: 6
(NIST: National Institute of Standards and Technology),
Kevin A. Gilmore8
Estimated H-index: 8
+ 1 AuthorsJohn J. Bollinger56
Estimated H-index: 56
Sources
Abstract
Trapped ions are sensitive detectors of weak forces and electric fields that excite ion motion. Here measurements of the center-of-mass motion of a trapped-ion crystal that are phase-coherent with an applied weak external force are reported. These experiments are conducted far from the trap motional frequency on a two-dimensional trapped-ion crystal of approximately 100 ions, and determine the fundamental measurement imprecision of our protocol free from noise associated with the center-of-mass mode. The driven sinusoidal displacement of the crystal is detected by coupling the ion crystal motion to the internal spin-degree of freedom of the ions using an oscillating spin-dependent optical dipole force. The resulting induced spin-precession is proportional to the displacement amplitude of the crystal, and is measured with near-projection-noise-limited resolution. A 49\,m displacement is detected with a single measurement signal-to-noise ratio of 1, which is an order-of-magnitude improvement over prior phase-incoherent experiments. This displacement amplitude is 40times smaller than the zero-point fluctuations. With our repetition rate, a 8.4\,m/\sqrt{\mathrm{Hz}}displacement sensitivity is achieved, which implies 12\,N/\mathrm{ion}/\sqrt{\mathrm{Hz}}and 77\,\mu//\sqrt{\mathrm{Hz}}sensitivities to forces and electric fields, respectively. This displacement sensitivity, when applied on-resonance with the center-of-mass mode, indicates the possibility of weak force and electric field detection below 10^{-3}\,N/ion and 1\,V/m, respectively.
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#1Liu Zhichao (CAS: Chinese Academy of Sciences)H-Index: 1
#2Wei Yaqi (CAS: Chinese Academy of Sciences)
Last. Mang FengH-Index: 32
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Developing nano-mechanical oscillators for ultrasensitive force detection is of great importance in exploring science. We report our achievement of ultrasensitive detection of the external force regarding the radio-frequency electric field by a nano-sensor made of a single trapped ^{40}a^{+}ion under injection-locking, where squeezing is additionally applied to detection of the smallest force in the ion trap. The employed ion is confined stably in a surface electrode trap and works as a ph...
#1Kevin A. GilmoreH-Index: 8
#2M. Affolter (NIST: National Institute of Standards and Technology)H-Index: 6
Last. John J. Bollinger (NIST: National Institute of Standards and Technology)H-Index: 56
view all 7 authors...
Fully controllable ultracold atomic systems are creating opportunities for quantum sensing, yet demonstrating a quantum advantage in useful applications by harnessing entanglement remains a challenging task. Here, we realize a many-body quantum-enhanced sensor to detect displacements and electric fields using a crystal of ~150 trapped ions. The center-of-mass vibrational mode of the crystal serves as a high-Q mechanical oscillator, and the collective electronic spin serves as the measurement dev...
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#1Kevin A. GilmoreH-Index: 8
#2M. AffolterH-Index: 6
Last. John J. BollingerH-Index: 56
view all 7 authors...
Developing the isolation and control of ultracold atomic systems to the level of single quanta has led to significant advances in quantum sensing, yet demonstrating a quantum advantage in real world applications by harnessing entanglement remains a core task. Here, we realize a many-body quantum-enhanced sensor to detect weak displacements and electric fields using a large crystal of \sim 150trapped ions. The center of mass vibrational mode of the crystal serves as high-Q mechanical oscillato...
Source
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